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Finding the Third Proportional to 9,489 and 20,382

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Solution

The third proportional to 9,489 and 20,382 is: 43,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489 : 20,382 = 20,382 : x
  2. Step 2: Convert to fraction form
    9,489/20,382 = 20,382/x
  3. Step 3: Cross multiply
    9,489x = 20,382 × 20,382
  4. Step 4: Simplify right side
    9,489x = 415,425,924
  5. Step 5: Solve for x
    x = 415,425,924/9,489
  6. Step 6: Final answer
    x = 43,779.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.